| Charles Astor Bristed - 1852
...rectangle contained by the whole and one of the parts shall be equal to the square of the other part. 4. **The angle at the centre of a circle is double of the angle at the** circumference, upon the same base, that is, upon the same part of the circumference. 5. In a circle,... | |
| University Of Sydney, General Books - 1853
...the straight line intercepted without the triangle between the perpendicular and the obtuse angle. 8. **The angle at the centre of a circle is double of the angle at the** circumference upon the same base. Prove this, and thence shew that the angle in a semi circle is a... | |
| Royal Military Academy, Woolwich, Thomas Stephens Davies, Stephen Fenwick, William Rutherford - 1853
...centre; that is, the centre is in CA. Therefore, if a straight line, etc. QED PROPOSITION XX. THEOR. **The angle at the centre of a circle is double, of the angle at the** circumference upon the same base, that is, upon the same part of the circumference. BOOK III. PROF.... | |
| Euclides - 1853
...5. The centre of the circle is in CA. Therefore, if a straight line, &e. QEU PROP. XX. — THEOREM. **The angle at the centre of a circle is double of the angle at the** circumference upon the same base, that is, upon the same part of the circumference. Let ABC be a circle,... | |
| Dugald Stewart, John Veitch - 1854
...different quantities, and the connexions which exist between different relations. When we demonstrate that **the angle at the centre of a circle is double of the angle at the** circumference on the same base, we ascertain a relation between two quantities. When we demonstrate... | |
| Dugald Stewart, John Veitch - 1854
...different quantities, and the connexions which exist between different relations. When we demonstrate that **the angle at the centre of a circle is double of the angle at the** circumference on the same base, we ascertain a relation between two quantities. When we demonstrate... | |
| John Hind - 1855
...centre of the circle circumscribing the triangle ABC, we have OA=OB= ОС = the radius R : then, since **the angle at the centre of a circle is double of the angle at the** circumference upon the same base, we have, from Article (77), REGULAR POLYGONS. From this, it appears... | |
| Euclides - 1856
...therefore the square of EH is less than the square of EK, and the line EH than E K. LIX.— EUCLID III. 20. **The angle at the centre of a circle is double of the angle at the** circumference upon the same base ; that is, upon the same part of the circumference. Let ABC (Fig.... | |
| Cambridge univ, exam. papers - 1856
...line from a given point, either without or in the circumference, which shall touch a given circle. 11. **The angle at the centre of a circle is double of the angle at the** circumference, upon the same base, that is, upon the same part of the circumference. EUCLID. BOOKS... | |
| John Playfair - 1856 - 318 Seiten
...that no other point which is not in CA, is the centre ; that is, the centre is in CA. PROP. XX. THEOR **The angle at the centre of a circle is double of the angle at** th» circumference, upon the same base, that is, upon the same part of the circumfer ence. Let ABC... | |
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